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Finding the Fourth Proportional to 52,085.62, 78,098.34 and 45,858.13

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Solution

The fourth proportional to 52,085.62, 78,098.34 and 45,858.13 is: 68,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.62 : 78,098.34 = 45,858.13 : x
  2. Step 2: Convert to fraction form
    52,085.62/78,098.34 = 45,858.13/x
  3. Step 3: Cross multiply
    52,085.62x = 78,098.34 × 45,858.13
  4. Step 4: Simplify right side
    52,085.62x = 3,581,443,828.50
  5. Step 5: Solve for x
    x = 3,581,443,828.50/52,085.62
  6. Step 6: Final answer
    x = 68,760.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.